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Finding the Fourth Proportional to 291.41, 439.71 and 280.16

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Solution

The fourth proportional to 291.41, 439.71 and 280.16 is: 422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.41 : 439.71 = 280.16 : x
  2. Step 2: Convert to fraction form
    291.41/439.71 = 280.16/x
  3. Step 3: Cross multiply
    291.41x = 439.71 × 280.16
  4. Step 4: Simplify right side
    291.41x = 123,189.15
  5. Step 5: Solve for x
    x = 123,189.15/291.41
  6. Step 6: Final answer
    x = 422.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.